Question

Which expression is equivalent to (xy^-6)^2

Answer 1

Answer:

$\huge\boxed{\left(xy^{-6}\right)^2=x^2y^{-12}=\dfrac{x^2}{y^{12}}}$

Step-by-step explanation:

$\left(xy^{-6}\right)^2=x^2\left(y^{-6}\right)^2=x^2y^{-6\cdot2}=x^2y^{-12}=\dfrac{x^2}{y^{12}}$

Used

$(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}$